Comment on “Scaling behavior of classical wave transport in mesoscopic media at the localization transition”

Abstract

We emphasize the importance of the position dependence of the diffusion coefficient $D(\mathbf{r})$ in the self-consistent theory of localization and argue that the scaling law $T\ensuremath{\propto}\text{ln}\text{ }L/{L}^{2}$ obtained by Cheung and Zhang [Phys. Rev. B 72, 235102 (2005)] for the average transmission coefficient $T$ of a disordered slab of thickness $L$ at the localization transition is an artifact of replacing $D(\mathbf{r})$ by its harmonic mean. The correct scaling $T\ensuremath{\propto}1/{L}^{2}$ is obtained by properly treating the position dependence of $D(\mathbf{r})$.